Elsevier

Physics Letters B

Volume 181, Issues 1–2, 27 November 1986, Pages 115-118
Physics Letters B

Radiative corrections to vector boson masses for heavy Higgs bosons

https://doi.org/10.1016/0370-2693(86)91266-9Get rights and content

Abstract

Radiative corrections to the masses M of the vector bosons W and Z increase in perturbation theory with increasing Higgs mass m. Since these masses will be experimentally determined to an accuracy on the order of 0.1%, these measurements may offer one of the best tests of the detailed dynamics of the standard model. In particular, they would seem to place an upper limit on the Higgs mass m (or, since m2λ, the maximum strength of the scalar self-coupling λ). Performing a 1N expansion in SU(N) × U(1) through order 1N but all orders in the scalar coupling λN, it is demonstrated that the radiative corrections δM2 to the vector boson masses are of the form δM2m2 = (g2 N16 π2)[F1 (θw) + N−1 F2 (λN, θw) + O(N−2)], where g2N is the SU(N) gauge coupling constant and θw the weak mixing angle. The function F2 remains finite even in the limit of infinite self-coupling constant. Thus, no matter how large the perturbative Higgs mass m is, the vector boson mass shifts may remain small, on the order of the anticipated experimental accuracy.

References (11)

  • R. Casalbuoni et al.

    Phys. Lett. B

    (1984)
  • L. Maiani
  • J. Van der Bij et al.

    Nucl. Phys. B

    (1984)
  • G.'t Hooft

    Recent developments in gauge theories

  • R. Rashen et al.

    Phys. Rev. Lett.

    (1983)
There are more references available in the full text version of this article.

Cited by (2)

This work was supported in part by the US Department of Energy.

View full text